Question

select the correct answer. the endpoints of gh are g(-7,3) and h(1,-2). what is the midpoint of gh? a. (-3, 1/2) b. (4, 5/2) c. (9,-7) d. (-6,-1)

Explanation:

Step1: Recall mid - point formula

The mid - point formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $M=(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Here $x_1=-7,y_1 = 3,x_2=1,y_2=-2$.

Step2: Calculate the x - coordinate of the mid - point

$x=\frac{-7 + 1}{2}=\frac{-6}{2}=-3$.

Step3: Calculate the y - coordinate of the mid - point

$y=\frac{3+( - 2)}{2}=\frac{3 - 2}{2}=\frac{1}{2}$.

Answer:

A. $(-3,\frac{1}{2})$